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Finding the Third Proportional to 42,046 and 63,190

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Solution

The third proportional to 42,046 and 63,190 is: 94,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,046 : 63,190 = 63,190 : x
  2. Step 2: Convert to fraction form
    42,046/63,190 = 63,190/x
  3. Step 3: Cross multiply
    42,046x = 63,190 × 63,190
  4. Step 4: Simplify right side
    42,046x = 3,992,976,100
  5. Step 5: Solve for x
    x = 3,992,976,100/42,046
  6. Step 6: Final answer
    x = 94,966.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.